What is the 1126th prime number?
The 1126th prime number is 9059. The next prime is 9067 (a gap of 8) and the one before is 9049.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1126th one is 9059.
- 2
9059 is prime because no prime up to ā9059 ā 95.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1126th prime is close to 1126 Ć ln(1126) ā 7912, and here it is 9059.
- 4
9059 has no twin: neither 9057 nor 9061 is prime.
Primes around the 1126th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1123 | 9041 | 12 |
| 1124 | 9043 | 2 |
| 1125 | 9049 | 6 |
| 1126 | 9059 | 10 |
| 1127 | 9067 | 8 |
| 1128 | 9091 | 24 |
| 1129 | 9103 | 12 |
Questions
What is the 1126th prime number?
9059.
Which prime number is 9059?
9059 is the 1126th prime number.
What is the sum of the first 1126 primes?
4,755,043.